Smooth \(SL(n,\mathbb{H})\), \(Sp(n,\mathbb{C})\)-actions on \((4n-1)\)-manifolds

DOI10.2748/TMJ/1178227340zbMath0790.57024OpenAlexW2034004067MaRDI QIDQ1312830

Tomoji Tomuro

Publication date: 3 July 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227340

zbMATH Keywords

the classification of smooth actions of SL\((n,\mathbb{H})\) and \(\text{Sp} (n,\mathbb{C})\) on simply connected closed \((4n-1)\)-manifold

Mathematics Subject Classification ID

Noncompact Lie groups of transformations (57S20)

Related Items (1)

Classical symmetries of complex manifolds

Cites Work

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• Actions of symplectic groups on certain manifolds
• Certain aspects of twisted linear actions. II
• On smooth SL(2,\({\mathbb{C}})\) actions on 3-manifolds
• On the non-existence of smooth actions of complex symplectic group on cohomology quaternion projective spaces
• On a method to construct analytic actions of non-compact Lie groups on a sphere
• Real analytic actions of complex symplectic groups and other classical Lie groups on spheres

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